At this point it is convenient to introduce the relations between the operator coefficients \(m_i\)  of Eq. (REF ) and the \(SU(3)\)  invariants \(\mu _D\) , \(\mu _F\) , \(\mu _C\) , and \(\mu _T\)  used to parametrize the baryon magnetic moments in conventional heavy baryon chiral perturbation theory of Ref. [1]}. At the physical value \(N_c=3\) , the relations read [2]}
\(\mu _D & = & \frac{1}{2} m_1 + \frac{1}{6} m_3, \\\mu _F & = & \frac{1}{3} m_1 + \frac{1}{6} m_2 + \frac{1}{9} m_3, \\\mu _C & = & \frac{1}{2} m_1 + \frac{1}{2} m_2 + \frac{5}{6} m_3, \\\mu _T & = & -2 m_1 - m_4,\) 
